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<div class="titlepage"><div><div><h3 class="title">
<a name="boost_multiprecision.tut.complex"></a><a class="link" href="complex.html" title="Complex Number Types">Complex Number Types</a>
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<p>
        The following backends provide complex number arithmetic:
      </p>
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<colgroup>
<col>
<col>
<col>
<col>
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</colgroup>
<thead><tr>
<th>
                <p>
                  Backend Type
                </p>
              </th>
<th>
                <p>
                  Header
                </p>
              </th>
<th>
                <p>
                  Radix
                </p>
              </th>
<th>
                <p>
                  Dependencies
                </p>
              </th>
<th>
                <p>
                  Pros
                </p>
              </th>
<th>
                <p>
                  Cons
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  <code class="computeroutput"><span class="identifier">cpp_complex</span></code>
                </p>
              </td>
<td>
                <p>
                  boost/multiprecision/cpp_complex.hpp
                </p>
              </td>
<td>
                <p>
                  2
                </p>
              </td>
<td>
                <p>
                  None
                </p>
              </td>
<td>
                <p>
                  An all C++ Boost-licensed implementation.
                </p>
              </td>
<td>
                <p>
                  Slower than <a href="http://www.multiprecision.org" target="_top">MPC</a>.
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><span class="identifier">mpc</span></code>
                </p>
              </td>
<td>
                <p>
                  boost/multiprecision/mpc.hpp
                </p>
              </td>
<td>
                <p>
                  2
                </p>
              </td>
<td>
                <p>
                  <a href="http://www.multiprecision.org" target="_top">MPC</a>
                </p>
              </td>
<td>
                <p>
                  Very fast and efficient back-end.
                </p>
              </td>
<td>
                <p>
                  Dependency on LGLP-licensed [MPC] library.
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><span class="identifier">complex128</span></code>
                </p>
              </td>
<td>
                <p>
                  boost/multiprecision/complex128.hpp
                </p>
              </td>
<td>
                <p>
                  2
                </p>
              </td>
<td>
                <p>
                  <code class="computeroutput"><span class="identifier">__float128</span></code> and
                  libquadmath
                </p>
              </td>
<td>
                <p>
                  Very fast and efficient number type.
                </p>
              </td>
<td>
                <p>
                  128-bit precision only, and restricted to GCC.
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  <code class="computeroutput"><span class="identifier">complex_adaptor</span></code>
                </p>
              </td>
<td>
                <p>
                  boost/multiprecision/complex_adaptor.hpp
                </p>
              </td>
<td>
                <p>
                  -
                </p>
              </td>
<td>
                <p>
                  none
                </p>
              </td>
<td>
                <p>
                  Can convert any backend type into a complex number backend.
                </p>
              </td>
<td>
                <p>
                  Not a number in its own right, and hard to use as a result.
                </p>
              </td>
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